Rational Ruled Surfaces Passing Through Two Fixed Lines
Abstract
For any positive integer n, a rational ruled surface of degree n + 1 is constructed which passes through two arbitrary skew lines in the three-dimensional Euclidean space. In the cases of two parallel or intersecting lines, a rational ruled surface of degree 2n + 1 is constructed which contains the lines. Any surface is a preimage of a plane under a birational space transformation. This interpretation gives implicit equations and parametric representations of the considered surfaces.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP012022
Entities
People
- Gueorgui H. Gueorguiev